Geometry for college students
 Author/Creator
 Isaacs, I. Martin, 1940
 Language
 English.
 Imprint
 Providence, R.I. : American Mathematical Society, [2009?]
 Physical description
 xii, 222 p. : ill. ; 26 cm.
 Series

Pure and applied undergraduate texts ; 8.
Sally series (Providence, R.I.)
Access
Available online

Stacks

Unknown
QA445 .I63 2009

Unknown
QA445 .I63 2009
More options
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 216217) and index.
 Contents

 The basics
 Triangles
 Circles and lines
 Ceva's theorem and its relatives
 Vector method of proof
 Geometric constructions.
 Publisher's Summary
 One of the challenges many mathematics students face occurs after they complete their study of basic calculus and linear algebra, and they start taking courses where they are expected to write proofs. Historically, students have been learning to think mathematically and to write proofs by studying Euclidean geometry. In the author's opinion, geometry is still the best way to make the transition from elementary to advanced mathematics. The book begins with a thorough review of high school geometry, then goes on to discuss special points associated with triangles, circles and certain associated lines, Ceva's theorem, vector techniques of proof, and compassandstraightedge constructions. There is also some emphasis on proving numerical formulas like the laws of sines, cosines, and tangents, Stewart's theorem, Ptolemy's theorem, and the area formula of Heron. An important difference of this book from the majority of modern college geometry texts is that it avoids axiomatics. The students using this book have had very little experience with formal mathematics. Instead, the focus of the course and the book is on interesting theorems and on the techniques that can be used to prove them. This makes the book suitable to second or thirdyear mathematics majors and also to secondary mathematics education majors, allowing the students to learn how to write proofs of mathematical results and, at the end, showing them what mathematics is really all about.
(source: Nielsen Book Data)
Subjects
 Subject
 Geometry > Textbooks.
Bibliographic information
 Reprint/reissue date
 2009
 Original date
 2001
 Responsibility
 I. Martin Isaacs.
 Series
 Pure and applied undergraduate texts ; 8
 The Sally series
 Note
 Originally published: Pacific Grove, CA : Brooks/Cole Pub. Co., 2001.
 ISBN
 9780821847947 (alk. paper)
 0821847945 (alk. paper)